An experiment consists of tossing a die and then flipping a coin once if the number on thedie is odd. If the number on the die is even, the coin is flipped twice. Using the notation 3H,for example, to denote the outcome that the die comes up 3 and then the coin comes uphead, and 4HT to denote the outcome that the die comes up 4 followed by a head and thena tail on the coin, construct a tree diagram to show the 18 elements of the sample space S.

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Answered: An experiment consists of tossing a die…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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. Solve for the following:a. What is the probability of getting a blue or white ball if there are 50 balls in total, where 23are red, 11 are black, and the number of blue and white balls are equal?b. What is the probability of not drawing a heart or face or red card?c. How many distinct permutations can be derived from the word BOOKKEEPERS?d. How many ways can you create a password with 3 non-repeating letters, 5 numbers (whichcan be repeated) and 3 non-repeating symbols. Assuming there are 40 symbols available to choosefrom.
A role-playing game uses a die that has eighteight sides numbered 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma and 81, 2, 3, 4, 5, 6, 7, and 8. How many branches would a tree diagram have that shows the way two eighteight-sided die could be rolled? The tree diagram would have nothingm branches.
Perform a decision algorithm to count the number of possible outcomes. Professor Tough’s final exam consists of two parts. The multiple choice section contains 10 questions, each with 4 choices and the true false section contains 10 questions, each with two choices. How many different answer keys could Professor Tough make?
List all the ways to select two members from S with repetition. The order in which the members are selected is not important. For example, DD is allowed and BA is the same selection as AB. S= {H, J, K, L, M} ....D Identify the list of all the ways to select two members from S, allowing for repetition. Choose the correct answer below. O A. HH, HJ, HK, HL, HM, JJ, JK, JL, JM, KK, KL, KM, LL, LM, MM O B. HH, HJ, HK, HL, HM, JK, JL, JM, KL, KM, LM OC. HH, HJ, HK, HL, HM, JH, JJ, JK, JL, JM, KH, KJ, KK, KL, KM, LH, LJ, LK, LL, LM O D. HK, HL, HM, JK, JL, JM, KL, KM
Draw the tree diagram giving the permutations of {x, y, z, u} objects.
Using a tree diagram and the multiplication principle answer the following question: In how many ways can 3 coins turn up- heads H, or tails T – if combined outcomes such as (HTH), (HHT), and (THH) are considered different?
.When purchasing a ticket for the PowerBall lottery game a player chooses 5 distinct numbers between 1 and 69 (inclusive). The order in which the numbers are chosen does not matter. In addition, the player chooses one number between 1 and 26 (inclusive) to match the "powerball." How many different powerball tickets are possible?
(4) Carol picks out a birthday gift for her younger brother and decides to have it gift- wrapped by the store. She has a choice of 3 wrapping papers (plaid, stripes, or checked). She must then decide on a ribbon. She has 4 choices for ribbon (red, green, blue, or yellow). a) Determine the number of ways that Carol can have the gift wrapped by using a tree diagram. b) Determine the number of ways that Carol can have the gift wrapped by using the multiplication principle.
use a tree diagram that shows how many ways a nickel a dime and a quarter can be flipped, determine how many ways you can get exactly one tail.
64 ). In a lottery daily game, a player picks three numbers from 0 to 9. How many different choices does the player have if order doesn’t matter?
Construct a tree diagram showing all possible results when three fair coins are tossed. Then list the ways of getting the following result. fewer than two heads Construct a tree diagram showing all possible results when three fair coins are tossed. Select the correct choice below that lists the appropriate brances for the ways of getting fewer than two heads. A. TTT, HTT, THT, TTH B. TTT, HTT, THT, TTH, HHT, HTH, THH, HHH C. HHH, THH, HTH, HHT D. HHH
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